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Finding the Third Proportional to 19,023.75 and 40,970.25

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Solution

The third proportional to 19,023.75 and 40,970.25 is: 88,235.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,023.75 : 40,970.25 = 40,970.25 : x
  2. Step 2: Convert to fraction form
    19,023.75/40,970.25 = 40,970.25/x
  3. Step 3: Cross multiply
    19,023.75x = 40,970.25 × 40,970.25
  4. Step 4: Simplify right side
    19,023.75x = 1,678,561,385.06
  5. Step 5: Solve for x
    x = 1,678,561,385.06/19,023.75
  6. Step 6: Final answer
    x = 88,235.04

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.